Search a number
-
+
20231430624 = 253270248023
BaseRepresentation
bin10010110101111000…
…110010000111100000
31221012222000011101100
4102311320302013200
5312413221234444
613143313434400
71314232215516
oct226570620740
957188004340
1020231430624
11864212a2a9
123b0756ba00
131ba5618132
14d9cd2a4b6
157d6232e69
hex4b5e321e0

20231430624 has 36 divisors (see below), whose sum is σ = 57533131656. Its totient is φ = 6743810112.

The previous prime is 20231430623. The next prime is 20231430629. The reversal of 20231430624 is 42603413202.

20231430624 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 4 + 30 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231430623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35123724 + ... + 35124299.

It is an arithmetic number, because the mean of its divisors is an integer number (1598142546).

Almost surely, 220231430624 is an apocalyptic number.

20231430624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20231430624 is an abundant number, since it is smaller than the sum of its proper divisors (37301701032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20231430624 is a wasteful number, since it uses less digits than its factorization.

20231430624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70248039 (or 70248028 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20231430624 its reverse (42603413202), we get a palindrome (62834843826).

The spelling of 20231430624 in words is "twenty billion, two hundred thirty-one million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 70248023 140496046 210744069 280992092 421488138 561984184 632232207 842976276 1123968368 1264464414 1685952552 2247936736 2528928828 3371905104 5057857656 6743810208 10115715312 20231430624